[en] The critical slab problem has been studied in the one-speed neutron transport equation with isotropic scattering by using the first kind of Chebyshev Polynomials. The moment criticality solutions were obtained for the uniform finite slab using Mark and Marshak type vacuum boundary conditions. The results obtained by this approximation are presented in tables which also include the results obtained by the PN method for comparison. (orig.)
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[en] The critical slab problem of the one-speed and one dimensional neutron transport equation for an isotropic homogeneous medium was studied by using the Chebyshev polynomial approximation, i. e. UN method. The results obtained by the UN method for various c values, using the two type boundary conditions which are known as Mark and Marshak boundary conditions, are presented in tables. The tables also include the results obtained by the PN method for comparison. (orig.)
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[en] The critical slab problem of the reflected isotropic one-speed neutron transport equation is solved with the Chebyshev polynomial approximation. The efficiency of the reflection coefficient, R, in the neutron transport equation is obtained for different c values. For the solution, the Mark boundary condition is used. The values obtained from this approximation are compared with results obtained by the spherical harmonics method. (orig.)
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[en] The one-speed neutron transport equation which includes isotropic forward and backward scattering has been studied using the TN approximation. Critical thicknesses for different values of the reflection coefficient R and c values have been calculated. The study shows that the TN method gives nearly the same results as the PN approximation in one-dimensional geometry. The results obtained in this study are presented in tables and are compared with PN approximation results. (orig.)
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